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Finding the Fourth Proportional to 32,448.63, 48,677.81 and 10,254.90

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Solution

The fourth proportional to 32,448.63, 48,677.81 and 10,254.90 is: 15,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,448.63 : 48,677.81 = 10,254.90 : x
  2. Step 2: Convert to fraction form
    32,448.63/48,677.81 = 10,254.90/x
  3. Step 3: Cross multiply
    32,448.63x = 48,677.81 × 10,254.90
  4. Step 4: Simplify right side
    32,448.63x = 499,186,022.49
  5. Step 5: Solve for x
    x = 499,186,022.49/32,448.63
  6. Step 6: Final answer
    x = 15,383.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.